This paper provides (i) new results on the structure of optimal portfolios, (ii) economic insights on the behavior of the hedging components and (iii) an analysis of simulation-based numerical methods. The core of our approach relies on closed form solutions for Melliavin derivatives of...

We consider an intertemporal economy with liquidity constrained and unconstrained individuals. A liquidity constraint prevents marketability of future income and thus endogenously generates market incompleteness. In contrast with the existing literature on portfolio constraints, our liquidity...

In this paper, we consider American option contracts when the underlying asset has stochastic dividends and stochastic volatility. We provide a full discussion of the theoretical foundations of American option valuation and exercise boundaries. We show how they depend on the various sources of...